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Applications of fuzzy sliding mode control for a gyroscope system. (English) Zbl 1421.93032

Summary: The study proposed the application of the fuzzy sliding mode for a gyroscope system status control. The state response analysis of the gyroscope system revealed highly nonlinear and chaotic subharmonic motions of \(2T\) during state formation. The current study discussed the use of tracking control on the sliding mode control and fuzzy sliding mode control of a gyroscope control system. Consequently, the gyroscope system drives from chaotic motion to periodic motion. The numerical simulation results confirm that the proposed controller provides good system stability and convergence without chattering phenomena.

MSC:

93B12 Variable structure systems
93C42 Fuzzy control/observation systems
93C95 Application models in control theory
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
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[1] Wang, C.-C.; Yau, H.-T., Nonlinear dynamic analysis and sliding mode control for a gyroscope system, Nonlinear Dynamics, 66, 1-2, 53-65, (2011)
[2] Ge, Z.-M.; Lee, J.-K., Chaos synchronization and parameter identification for gyroscope system, Applied Mathematics and Computation, 163, 2, 667-682, (2005) · Zbl 1116.70012
[3] Boccaletti, S.; Farini, A.; Arecchi, F. T., Adaptive synchronization of chaos for secure communication, Physical Review E, 55, 5 A, 4979-4981, (1997)
[4] Fei, J.; Ding, H.; Yang, Y., Adaptive sliding mode control of MEMS triaxial gyroscope based on RBF network, Proceedings of the IEEE International Conference on Mechatronics and Automation (ICMA ’11)
[5] Chen, H.-K., Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping, Journal of Sound and Vibration, 255, 4, 719-740, (2002) · Zbl 1237.70094
[6] Chen, C.-K.; Yan, J.-J.; Liao, T.-L., Sliding mode control for synchronization of Rössler systems with time delays and its application to secure communication, Physica Scripta, 76, 5, 436-441, (2007) · Zbl 1125.37311
[7] Yau, H. T.; Hung, T. H.; Hsieh, C. C., Bluetooth based chaos synchronization using particle swarm optimization and its applications to image encryption, Sensors, 12, 7468-7484, (2012)
[8] Kuo, C.-L., Design of a fuzzy sliding-mode synchronization controller for two different chaos systems, Computers & Mathematics with Applications, 61, 8, 2090-2095, (2011) · Zbl 1219.93042
[9] Aghababa, M. P.; Khanmohammadi, S.; Alizadeh, G., Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique, Applied Mathematical Modelling, 35, 6, 3080-3091, (2011) · Zbl 1219.93023
[10] Li, J.; Kumar, K. D., Decentralized fault-tolerant control for satellite attitude synchronization, IEEE Transactions on Fuzzy Systems, 20, 3, 572-586, (2012)
[11] Yau, H.-T., Chaos synchronization of two uncertain chaotic nonlinear gyros using fuzzy sliding mode control, Mechanical Systems and Signal Processing, 22, 2, 408-418, (2008)
[12] Almeida, D. I. R.; Alvarez, J.; Barajas, J. G., Robust synchronization of Sprott circuits using sliding mode control, Chaos, Solitons and Fractals, 30, 1, 11-18, (2006) · Zbl 1220.37081
[13] Kuo, C.-L.; Wang, C.-C.; Pai, N.-S., Design of variable structure synchronization controller for two different hyperchaotic systems containing nonlinear inputs, Journal of Applied Sciences, 9, 14, 2635-2639, (2009)
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